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Finding the Fourth Proportional to 7,149.04, 9,867.96 and 4,461.52

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Solution

The fourth proportional to 7,149.04, 9,867.96 and 4,461.52 is: 6,158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.04 : 9,867.96 = 4,461.52 : x
  2. Step 2: Convert to fraction form
    7,149.04/9,867.96 = 4,461.52/x
  3. Step 3: Cross multiply
    7,149.04x = 9,867.96 × 4,461.52
  4. Step 4: Simplify right side
    7,149.04x = 44,026,100.90
  5. Step 5: Solve for x
    x = 44,026,100.90/7,149.04
  6. Step 6: Final answer
    x = 6,158.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.